Answer:
6xy²+7-x²y²-5x²y+3x²y²=6x²+7+2x²y²-5x²y
This is a quadratic equation with a general equation of ax^2 + bx + c.
The quadratic formula can help to get the roots of the equation. We know the highest degree of that equation is 2; so there will be also two roots.
The quadratic formula is
x = [-b ± √(b^2 - 4ac)] / 2a
With a = 1, b = 7, c = 2,
x = {-7 ± √[(7)^2 - 4(1)(2)]} / 2(1) = (-7 ± √41) / 2
So the two roots are
x1 = (-7 + √41) / 2 = -0.2984
x2 = (-7 - √41) / 2 = 0.2984
This is also another way of factorizing the equation
(x + 0.2984)(x + 0.2984) = x^2 + 7x + 2
Answer:
Steps 1 - 4 below explains it.
Step-by-step explanation:
The way that the soldiers get across the river and leave the boys in joint possession of the boat is;
1) The two 12- year - old boys will take the boat to the other side
2) Thereafter, one of the 12- year - old boys will return with the boat.
3) A soldier will now take the boat to the other side and the soldier will remain there while the other boy returns the boat.
4) Step 1 - 3 is a total of 4 trips. Thus, trip would be repeated the total of n times and the n number of soldiers would get across the river and leave the boys in joint possession of the boat after the total of 4n trips.
